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Finding the Fourth Proportional to 670.24, 1,000.10 and 601

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Solution

The fourth proportional to 670.24, 1,000.10 and 601 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.24 : 1,000.10 = 601 : x
  2. Step 2: Convert to fraction form
    670.24/1,000.10 = 601/x
  3. Step 3: Cross multiply
    670.24x = 1,000.10 × 601
  4. Step 4: Simplify right side
    670.24x = 601,060.10
  5. Step 5: Solve for x
    x = 601,060.10/670.24
  6. Step 6: Final answer
    x = 896.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.